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We examine the effects of disorder in one-dimensional systems. We link the case of a few impurities, typical of a short quantum wire, to that of a finite density of scatterers more appropriate for a long wire or a macroscopic system.…

Condensed Matter · Physics 2007-05-23 Thierry Giamarchi , Hélène Maurey

Effect of static charges on charge carrier transport in disordered organic materials is considered. Long range nature of Coulomb interaction requires to take into consideration a finite thickness of the transport layer. Presence of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sergey Novikov

The topological insulator BiSbTeSe$_2$ corresponds to a compensated semiconductor in which strong Coulomb disorder gives rise to the formation of charge puddles, i.e., local accumulations of charge carriers, both in the bulk and on the…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 T. Knispel , W. Jolie , N. Borgwardt , J. Lux , Zhiwei Wang , Yoichi Ando , A. Rosch , T. Michely , M. Grüninger

We present a theory for Coulomb drag between two mesoscopic systems. Our formalism expresses the drag in terms of scattering matrices and wave functions, and its range of validity covers both ballistic and disordered systems. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

Recent pump-probe experiments demonstrate the possibility that Dirac materials may be driven into transient excited states describable by two chemical potentials, one for the electrons and one for the holes. Given the Dirac nature of the…

Materials Science · Physics 2017-05-10 Christopher Triola , Anna Pertsova , Robert S. Markiewicz , Alexander V. Balatsky

We study the behavior of a two-component plasma made up of non-additive hard disks with a logarithmic Coulomb interaction. Due to the Coulomb repulsion, long-wavelength total density fluctuations are suppressed and the system is globally…

Statistical Mechanics · Physics 2017-12-27 E. Lomba , J. J. Weis , S. Torquato

Taking into account the interplay between the disorder and Coulomb interaction, the phase diagram of three-dimensional anisotropic Weyl semimetal is studied by renormalization group theory. Weak disorder is irrelevant in anisotropic Weyl…

Disordered Systems and Neural Networks · Physics 2021-02-19 Jing-Rong Wang , Wei Li , Gang Wang , Chang-Jin Zhang

From the laws of macroscopic electrostatics of conductors (in particular the existence of screening) taken for granted, one can deduce universal properties for the thermal fluctuations in a classical Coulomb system at equilibrium. The…

Condensed Matter · Physics 2016-08-31 B. Jancovici

Chains and arrays of phosphorus donors in silicon have recently been used to demonstrate dopant-based quantum simulators. The dopant disorder present in fabricated devices must be accounted for. Here, we theoretically study transport…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Michał Gawełczyk , Garnett W. Bryant , Michał Zieliński

We study disorder effects on the surface states of the topological insulator Bi$_2$Se$_3$ close to the topologically protected crossing point. Close to charge neutrality, local fluctuations in carrier density arising from the random charged…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 S. Adam , E. H. Hwang , S. Das Sarma

We develop a theory for density, disorder, and temperature dependent electrical conductivity of bilayer graphene in the presence of long-range charged impurity scattering as well as an additional short-range disorder of independent origin,…

Mesoscale and Nanoscale Physics · Physics 2010-04-21 S. Das Sarma , E. H. Hwang , E. Rossi

Coulomb screening, together with degeneracy, is characteristic of the metallic electron gas. While there is little trace of its effects in transport and noise in the bulk, at mesoscopic scales the electronic fluctuations start to show…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Frederick Green , Mukunda P Das

Recent theoretical and numerical developments show analogies between quantum chromodynamics (QCD) and disordered systems in condensed matter physics. We study the spectral fluctuations of a Dirac particle propagating in a finite four…

High Energy Physics - Theory · Physics 2009-10-31 T. Guhr , T. Wilke , H. A. Weidenmueller

The localization properties of a two-dimensional disordered electron gas in a strong external magnetic field are studied. The impurities are considered to be located on a square lattice with random amplitudes. The concentration of these…

Condensed Matter · Physics 2007-05-23 Michael HILKE

Spatially separated electron systems remain strongly coupled by electron-electron interactions even when they cannot exchange particles, provided that the layer separation d is comparable to a characteristic distance l between charge…

Quasiparticle states in Dirac systems with complex impurity potentials are investigated. It is shown that an impurity site with loss leads to a nontrivial distribution of the local density of states (LDOS). While the real part of defect…

Disordered Systems and Neural Networks · Physics 2020-03-20 P. O. Sukhachov , A. V. Balatsky

We have analyzed Coulomb drag between currents of interacting electrons in two parallel one-dimensional conductors of finite length $L$ attached to external reservoirs. For strong coupling, the relative fluctuations of electron density in…

Condensed Matter · Physics 2009-10-31 Vadim Ponomarenko , Dmitri Averin

It was recently found that Coulomb interaction can induce a series of nontrivial spectral and transport properties in a two-dimensional anisotropic Weyl semimetal. Different from graphehe that is basically an ordinary Fermi liquid, the…

Strongly Correlated Electrons · Physics 2016-11-10 Peng-Lu Zhao , Jing-Rong Wang , An-Min Wang , Guo-Zhu Liu

We study the collective charge-density modes (plasmons) of two-dimensional nonsymmorphic Dirac semimetals, within the random-phase approximation (RPA) in presence of Coulomb interaction. Without loss of generality, we consider a system in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Debasmita Giri , Arijit Kundu

We consider theoretically effects of random charged impurity disorder on the {\it quality} of high-mobility two dimensional (2D) semiconductor structures, explicitly demonstrating that the sample mobility is not necessarily a reliable or…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 S. Das Sarma , E. H. Hwang
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